# Homomorphism of a Group and Kernel of the Homomorphism

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Modern Algebra

Group Theory (L)

Homomorphism of a Group

Kernel of the Homomorphism

Verify if the mapping defined is a homomorphism and in that case in which it is homomorphism, determine the Kernel:

G is the group of non-zero real numbers under multiplication, Â¯G = G, phi(x) = x^2 all x belongs to G.

The fully formatted problem is in the attached file.

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#### Solution Summary

Homomorphisms and kernels are investigated. The solution is detailed and well presented.

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